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(Word Problem) Design a state diagram to perform the follow-ing function. There are two data inputs A and B, a check input C, and an output D. The FSM takes as input two continuous, synchronous streams of 4-bit twos-complement numbers in a bit-serial form with the most significant (sign) bit first. The least significant bit is marked by a 1 on the check line (C). During the time slot in which C is asserted, the output D should go to a 1 if the twos-complement number on A is larger than the twos-complement number on B.

(a) Complete the timing diagram in Figure Ex. 10.4 to make sure you fully understand the statement of the problem.

(b) Draw a state diagram that implements this specification using as few states as possible. (Hint: It is possible to implement this machine in six or fewer states.)

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